Abstract
For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce 2/3∫ρ(x)4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.
Work partially supported by U.S. National Science Foundation Grant No. PHY-7825390 A01.
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Lieb, E.H., Oxford, S. (2001). Improved Lower Bound on the Indirect Coulomb Energy. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_4
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DOI: https://doi.org/10.1007/978-3-662-04360-8_4
Publisher Name: Springer, Berlin, Heidelberg
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